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Mathematics 10 Online
OpenStudy (anonymous):

Assume an \(8\times 8\) chessboard with usual colouring. You may repaint all the squares of a row or column. The goal is to attain one black square. Possible?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

i think

OpenStudy (anonymous):

do u need explanation

terenzreignz (terenzreignz):

What does repaint mean? Invert the colours of a row? (IE turn all light squares dark and vice versa)

OpenStudy (anonymous):

ok suppose that we want one black square that is how we can do it

OpenStudy (anonymous):

black square is in the middle lets say at 4rth row and 4rth coloumn

OpenStudy (jack1):

yes

OpenStudy (anonymous):

first we paint all the rows except 4rth one with white color not 4rth row 4rth row must have one black

OpenStudy (anonymous):

then we paint all coloumns with white except 4rth coloumn

terenzreignz (terenzreignz):

So, in simple terms, repainting is a function that maps... |dw:1370257845631:dw|

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